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lisov135 [29]
3 years ago
15

You have the following colored stones in a bag: 1/2 purple, 2/5 yellow, 1/6 pink and 1/4 black. You pick a stone without looking

. What color stone are you MOST likely to choose?
A
yellow

B
pink

C
purple

D
black
Mathematics
2 answers:
Ainat [17]3 years ago
6 0
You would most likely choose the color purple
cupoosta [38]3 years ago
3 0

Answer:

purple

Step-by-step explanation:

because its half of the bag aka biggest number in their if u can check yourself divide each fraction then pick biggest decimal.

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Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local m
OlgaM077 [116]
f(x,y)=2y^3+12x^2-24xy
Find the first derivatives:
f'_x=24x-24y \\ f'_y=6y^2-24x.
Solve the system \left \{ {{f'_x=0} \atop {f'_y=0}} \right.:
\left \{ {{24x-24y=0} \atop {6y^2-24x=0}} \right. \rightarrow \left \{ {{x=y} \atop {6y^2-24y=0}}. The second equation has solutions y_1=0, \\ y_2=4 and then x_1=0, \\ x_2=4 and you have two points A_1(0,0), \\ A_2(4,4).

Find the first derivatives:
f^{''}_{xx}=24 \\ f^{''}_{xy}=f^{''}_{yx}=-24 \\ f^{''}_{yy}=12y and calculate \Delta=\left|  \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576.
Since \Delta(A_1)=-576 and f^{''}_{xx}\ \textgreater \ 0, A_1 is a point of maximum and f(0,0)=0.
Since \Delta(A_2)=576 and f^{''}_{xx}\ \textgreater \ 0, A_1 is a point of minimum and f(4,4)=-64.




4 0
3 years ago
Three friends got jobs at stores in the mall. Nina earns $117.60 117 60 for 14 14 hours of work. Ty earns $148.50 148 50 for 18
Gekata [30.6K]

Answer:

  Kim

Step-by-step explanation:

Nina's rate is $117.60/(14 h) = $8.40/h

Ty's rate is $148.50/(18 h) = $8.25/h

Kim's rate is $137.60/(16 h) = $8.60/h

Kim has the highest pay rate in dollars per hour.

3 0
3 years ago
Read 2 more answers
Zach loves to volunteer. Last year, he spent 55 hours feeding and brushing cats at the pet shelter on Mondays. He also spent tim
alexgriva [62]
171-55=x
x= 116
to get the answer plug in the numbers and to check the answer reverse do the problem
6 0
2 years ago
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
bija089 [108]

Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

               d) 4.6 hrs

<u>Step-by-step explanation:</u>

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
In the statement “If a line is bisected then it is cut into two equal parts”. The hypothesis is “If a line is bisected” and the
tensa zangetsu [6.8K]

Answer:

True

Step-by-step explanation:

The hypothesis of a conditional statement is the "if" part.  This means the hypothesis is "If a line is bisected."

The conclusion of a conditional statement is the "then" part.  This means the conclusion is "then it is cut into two equal parts."

8 0
3 years ago
Read 2 more answers
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